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Finding the Fourth Proportional to 11,137.50, 16,708.41 and 4,981.50

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Solution

The fourth proportional to 11,137.50, 16,708.41 and 4,981.50 is: 7,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.50 : 16,708.41 = 4,981.50 : x
  2. Step 2: Convert to fraction form
    11,137.50/16,708.41 = 4,981.50/x
  3. Step 3: Cross multiply
    11,137.50x = 16,708.41 × 4,981.50
  4. Step 4: Simplify right side
    11,137.50x = 83,232,944.42
  5. Step 5: Solve for x
    x = 83,232,944.42/11,137.50
  6. Step 6: Final answer
    x = 7,473.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.